Information on Result #930404
Linear OOA(1690, 86, F16, 2, 62) (dual of [(86, 2), 82, 63]-NRT-code), using construction X applied to AG(2;F,65P) ⊂ AG(2;F,87P) based on
- linear OOA(1668, 64, F16, 2, 62) (dual of [(64, 2), 60, 63]-NRT-code), using algebraic-geometric NRT-code AG(2;F,65P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- linear OOA(1646, 64, F16, 2, 40) (dual of [(64, 2), 82, 41]-NRT-code), using algebraic-geometric NRT-code AG(2;F,87P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OOA(1622, 22, F16, 2, 21) (dual of [(22, 2), 22, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1622, 24, F16, 2, 21) (dual of [(24, 2), 26, 22]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,26P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OOA(1622, 24, F16, 2, 21) (dual of [(24, 2), 26, 22]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.